How Do You Calculate the Frequency and Period of a Pendulum's Oscillation?

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SUMMARY

The discussion focuses on calculating the frequency and period of a pendulum's oscillation using a 2-meter long string and a 200g mass. The formula for the period of oscillation is correctly identified as T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity (9.8 m/s²). The frequency is derived from the period using the formula f = 1/T. For an initial amplitude of 10 cm, the calculated period is 2 seconds, resulting in a frequency of 0.5 Hz.

PREREQUISITES
  • Understanding of basic physics concepts, specifically pendulum motion.
  • Familiarity with the formula T = 2π√(L/g) for calculating the period.
  • Knowledge of frequency calculation using f = 1/T.
  • Basic grasp of units of measurement (meters, seconds, grams).
NEXT STEPS
  • Research the effects of varying amplitude on pendulum oscillation.
  • Learn about the concept of simple harmonic motion in relation to pendulums.
  • Explore the impact of mass on the frequency and period of a pendulum.
  • Investigate advanced pendulum models, such as the compound pendulum.
USEFUL FOR

Students studying physics, educators teaching pendulum dynamics, and anyone interested in understanding oscillatory motion in mechanical systems.

Idrees
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Pendulum help PLLLLLLLLLLLEASE!

Hi I am just doing typical first yr physics pendelum

Im trying to calculate the frequency of of the oscillation of the pendulum and also calculate the period of oscillation

here are the details:

2 m long string pendulum
200g mass attached to it
initial amplitude of 10 cm and had to calculate the period of oscillation ??

i use the typical 2pi*square root ( L/g) where is use valcues 2 m and g= 9.8 m/s 2 ? is this right way ?

for frequency of oscillation which formula i shud use? please help and if the initial amplitude now is 20 cm ... ?
 
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The frequency of oscillation is just 1/period.
So if you work out the period to be 2secs the frequency = 1/2 Hz
 


Yes. Assuming the 2 m is to the center of the mass.
Use f = 1/T to get the frequency after you have the period.
 

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